Nolan Richardson, the most successful coach in Tulsa basketball history, was named yesterday to replace Eddie Sutton as coach at the University of Arkansas. Richardson will be the first black head coach in any men's sport in the history of the Southwest Conference.

The announcement by Arkansas Athletic Director Frank Broyles came a week after Sutton resigned to take the coaching job at the University of Kentucky. Sutton had coached the Razorbacks for 11 years.

The other finalist for the Arkansas job was believed to be Rollie Massimino, who guided Villanova to the national championship eight days ago.

In five years at Tulsa, Richardson, 43, compiled a 118-37 record. His Tulsa teams have been in the NCAA tournament three times, the NIT twice . . .

Southern Illinois University basketball Coach Allen Van Winkle resigned in the wake of allegations that illegal payoffs were made to a Saluki player.

"Van Winkle cited personal reasons for his resignation, which is effective today," Dean Stuck, special assistant in charge of intercollegiate athletics at the school, said at a news conference.

Van Winkle has been under fire since last week when assistant coach Stafford Stephenson quit, admitting that he knew that payments of $200 a week were being paid to center Kenny Perry.

"My decision to resign is in no way based upon the allegations," said Van Winkler.